GCD of 87, 736, 284, 922 Calculator

Given Input numbers are 87, 736, 284, 922

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 87, 736, 284, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 736, 284, 922 is 1.

Therefore, GCD of numbers 87, 736, 284, 922 is 1

Given Input Data is 87, 736, 284, 922

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 87 is 3 x 29

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 922 is 2 x 461

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(87, 736) = 64032

GCD(87, 736) = ( 87 x 736 ) / 64032

GCD(87, 736) = 64032 / 64032

GCD(87, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 87, 736, 284, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 500, 652, 162
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• GCD of 56, 266, 343, 524
• GCD of 92, 662, 373, 736
• GCD of 56, 879, 980, 663

1. What is the GCD of 87, 736, 284, 922?

GCD of 87, 736, 284, 922 is 1

2. Where do I get the detailed procedure to find GCD of 87, 736, 284, 922?

You can find a detailed procedure to find GCD of 87, 736, 284, 922 on our page.

3. How to find GCD of 87, 736, 284, 922 on a calculator?

You can find the GCD of 87, 736, 284, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.